https://orcid.org/0000-0002-3498-6029
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ABSTRACT
The objective of the paper is to study essential stability in set optimization. Essential sets of efficient and weak efficient solution sets are introduced for a set optimization problem and essential sets are identified for both the solution sets. A characterization of essential sets is given for efficient solution sets. Finally, sufficient conditions are provided for the existence of essential sets in the image space.
Acknowledgments
The authors wish to thank the referee and the associate editor for their suggestions which helped to improve the presentation of this article. This research, for the second author, was supported by MATRICS scheme of Department of Science and Technology, India.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
This research, for the second author, was supported by Department of Science and Technology, Ministry of Science and Technology, India (MATRICS Scheme).